suppose that 11 inches of wire costs 55 cents how many inches of wire can be bought for 25 cents

The distance between two locations on the same line of latitude can be calculated by summing the total distance between the points in degrees and multiplying it by the statute miles per degree for the shared line of latitude.

To calculate the distance in miles between two locations on the same line of latitude, we first need to find the total distance between the points in degrees. In the case of location A, which is 60°N, 30°W, and location B, which is 60°N, 50°E, the total distance between the two points is 80 degrees (50°E - 30°W).

Next, we need to multiply the sum of the degrees by the statute miles per degree for the shared line of latitude. Since the line of latitude is 60°N, we need to determine the statute miles per degree at that latitude.

The Earth's circumference at the equator is approximately 24,901 miles, and since a circle is divided into 360 degrees, the distance per degree at the equator is approximately 69.17 miles (24,901 miles / 360 degrees).

Multiplying the total distance in degrees (80 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 5,533.6 miles.

Similarly, for location C, which is 30°S, 60°W, and location D, which is 30°S, 90°E, the total distance between the points is 150 degrees (90°E - 60°W). Since the line of latitude is 30°S, we use the same statute miles per degree value (69.17 miles).

Multiplying the total distance in degrees (150 degrees) by the statute miles per degree (69.17 miles), we find that the distance between the two locations is approximately 10,375.5 miles.

Therefore, the distance between locations A and B is approximately 5,533.6 miles, and the distance between locations C and D is approximately 10,375.5 miles, when calculated using the given method.

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Answer:

962.11 or 306.25

Step-by-step explanation:

the area of a circle is  π(radius)squared

the radius is half of of the diameter which = 17.5

so *17.5 squared is 962.11

Answer: 315 miles

Step-by-step explanation:

42x2=84

124.95

-84.00

_______

40.95

40.95 ➗ 0.13 = 315 miles

Answer:

E

Step-by-step explanation:

25 times 1/5 is saying divide 25 by 5 because 25 times 1/5 in 25/5 which is equal to 5 where 25 divided by 5 is 5.

Hope this helped :]

Answer:

is 31

Step-by-step explanation:

cuz  u have to divdie  it to get your  answer.

Answer: 10: Additive Property

12: Distributive Property

Step-by-step explanation:

Answer:96

Step-by-step explanation:

Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS

Answer:

x 2 4 6 8 10

y 5 10 15 20 25

x 21 35 49 63 77

y 3 5 7 9 11

are proportinal

Step-by-step explanation:

x and y are moving in a constant rate

These are the two complex solutions to the system. \(y = (1 + i* \sqrt{(2)}) / 2\) and \(y = (1 - i* \sqrt{(2)}) / 2\)

To solve this system, we will first rearrange the second equation to solve for x in terms of y:

x = 1 - 2y

Now we substitute this expression for x into the first equation:

\((1 - 2y + 1)^2 + (y - 1)^2 = 80\)

Simplifying, we get:

4y² - 4y + 2 = 0

Dividing by 2, we get:

2y² - 2y + 1 = 0

Using the quadratic formula, we get:

\(y = (2 \± \sqrt{(4 - 8)}) / 4\\y = (1 \± i* \sqrt{(2)}) / 2\)

where i is the imaginary unit. These are complex solutions, which means that there are no real solutions to this system. Therefore, the system has no solutions in the real plane.

In the complex plane, the system has two solutions, which are:

\(x = 1 - 2[(1 + \sqrt{(2)}) / 2] = -1 - \sqrt{(2)\)

\(y = (1 + *\sqrt{(2)}) / 2\) and \(x = 1 - 2[(1 -\sqrt{(2)}) / 2] = -1 + \sqrt{(2)\)

\(y = (1 - *\sqrt{(2)}) / 2\)

These are the two complex solutions to the system.

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Answer:

the answer is 2..............

Answer:

2÷1= 2

Step-by-step explanation:

2X1=2 so 2÷1=2

Answer:

Option D

Step-by-step explanation:

a/3 = 8/6

a × 6 = 8 × 3

6a = 24

a = 24/6

a = 4

Hence,

Option A is correct

Answer:

4

Step-by-step explanation:

cross multiply

a x 6=3 × 8

or,a=24/6

There fore a=4

Answer:

AAS

Step-by-step explanation:

Answer:

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.

The ASA rule states that:

If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Angle-Angle-Side (AAS) Rule

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent.

The AAS rule states that:

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

In the diagrams below, if AC = QP, angle A = angle Q, and angle B = angle R, then triangle ABC is congruent to triangle QRP.

Answer:

Explanation:

Let the speed of the first person be x mph and the speed of the second person be y mph

Since one person's speed is faster than the other, we can have:

Mathematically, distance equals the product of speed and time

The time traveled by each person is 1.5 hours

The distance traveled by each of them is:

The sum of the two equals 18 miles

Thus:

Recall;

This means that the first person was walking 5 mph while the second was walking 7 mph

y=150x+1500 is the equation to represent the relationship between the two variables x and y

From the given graph we can observe that this is a linear function as the graph is straight line

Let us find the slope of line by taking any points from the graph

y=mx+b is the equation of line in standard form where x and y are variables, m is slope

(2, 1800) and (0, 1500) are two points through which the line passes

slope =1500-1800/0-2

=-300/-2

=150

Now let us find the y intercept

1800=150(2)+b

1800=300+b

b=1500

Now the equation is y=150x+1500

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A lab technician measures an increase in the population of 400 bacteria over the first 15-hr period [0, 15]. Estimate the value ofrthat best fits this data point,t is 26.792.


We can use the formula for exponential growth to estimate the value of r that best fits the given data point. The formula is:

N(t) = N0 * e^(rt)

where N(t) is the population at time t, N0 is the initial population, e is the base of natural logarithms (approximately equal to 2.718), and r is the growth rate.

We know that the initial population N0 is 0 (since the population at time 0 is not given), the population after 15 hours N(15) is 400, and the time interval is 15 hours. Plugging these values into the formula, we get:

400 = 0 * e^(r*15)

Simplifying, we get:

e^(r*15) = infinity

Taking the natural logarithm of both sides, we get:

r*15 = ln(infinity)

r = ln(infinity) / 15

Since ln(infinity) is infinity, we cannot calculate the exact value of r. However, we can estimate it by using a large number, say 1000, instead of infinity. Then:

r = ln(1000) / 15

r ≈ 0.184

Rounding to the nearest thousandth, we get:

r ≈ 0.183

Therefore, the value of r that best fits the given data point is approximately 0.183.


The lab technician's data shows that the population of bacteria increased by 400 over a 15-hour period. Using the formula for exponential growth, we estimated the value of r that best fits this data point to be approximately 0.183.

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Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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Answer:

2/3 cups

Step-by-step explanation:

The recipe calls for 2/4 cup of onion and 1/6 cup of celery. To find the total, we need to add the two fractions together; the amount of onions(2/4 cup or 1/2 a cup if simplified), and the amount of celery(1/6). To do this, we need to find a common denominator. We can do this buy finding a common multiple between 2 and 6.

Multiples of 2: 2, 4, 6, 8, 10, 12...

Multiples of 6: 6, 12, 18, 24, 30...

A common multiple is 6. 1/2x3/3=3/6 <--- an equivalent fraction of 1/2

Now both fractions have the same denominator:

Onions: 3/6

Celery: 1/6

3/6+1/6 = 4/6

4/6 simplifies to 2/3.

The total amount of celery and onion need for the soup is 2/3 cup

Answer:

2/3 cups

Step-by-step explanation:

The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

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Answer:

x=10

Step-by-step explanation:

10-5=5

Answer:

x= 10

Step-by-step explanation:

x-5 =5

x= 5+5

x= 10

zz

Answer:

Answer(s): (2,0,-4,-5)

log12 144 =  2

log15 1 = 0

log3 (  1/ 81  )  = -4

log 0.00001 =  -5

The values of the expression are,

1. 2

2. 0

3. -4

4. -5

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

For instance, how many times must a base of 10 be multiplied by itself to get 1,000? The answer is 3 (1,000 = 10 × 10 × 10).

Given that;

We have to use the property as;

aᵇ = x then

b = logₐx

So, we get;

log₁₂ 144 = a

12ᵃ = 144

12ᵃ = 12²

On comparing the base

= 2

Now,  second is,

log₁₅ 1 = a

15ᵃ = 1

a = 0

Now, log₃ (1/81)

3ᵃ = 1/81

3ᵃ = 3⁻⁴

a = - 4

And, log 0.00001

= log (10)⁻⁵

= -5 log 10

= -5

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The provided values for the independent-measures study the repeated-measures study had 21 subjects.

The degrees of freedom (df) for both the repeated-measures and independent-measures studies.

For a repeated-measures, the degrees of freedom calculated using the formula:

df = N - 1

where N is the number of subjects.

An independent-measures study, the degrees of freedom calculated using the formula:

df = (n1 + n2) - 2

where n1 and n2 are the sample sizes of the two groups.

Given that both studies produce a t statistic with df 20, the equations as follows:

For the repeated-measures study:

df = N - 1

20 = N - 1

N = 20 + 1

N = 21

Therefore, the repeated-measures study had 21 subjects.

For the independent-measures study:

df = (n1 + n2) - 2

20 = (n1 + n2) - 2

Different combinations of n1 and n2 to find the values that satisfy the equation the given values:

20 = (0 + 40 + 22 + 42 + 21) - 2

20 = 125 - 2

20 = 123.

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The probability that he will reach out into his pocket and pull out a $10 bill each time is 1/7. The correct option is the second option 1/7

From the question, we are to determine the probability of William pulling out a $10 bill twice without replacement

The probability of pulling out a $10 bill on the first draw is 3/7, since William has three $10 bills out of a total of seven bills in his wallet.

Since William does not replace the first bill when he pulls out the second one, there will be one less bill in the wallet for the second draw. Therefore,

The probability of pulling out another $10 bill on the second draw is 2/6 (since there will be two $10 bills left out of six bills in the wallet).

Thus,

The probability that he will reach out into his pocket and pull out a $10 bill each time is

P(two $10 bill) = 3/7 × 2/6

P(two $10 bill) = 3/7 × 1/3

P(two $10 bill) = 1/7

Hence, the probability is 1/7

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Answer:

180-(35+28)->180-63=117 and 180-117=63 then 63+36=99 and 180-99=81 so x=99°

Answer:

For -4, the arrow from zero goes 4 points to the left. Add two more.

Step-by-step explanation:

Answer:

-4 + 2  = -2      and -4 + (-2) = -6

Step-by-step explanation:

-4 + 2  = -2  

On the number line,start at zero

Do 4 jumps to the left (you are at -4)

Then do 2 jumps to the right You are at -2

-4 + (-2) = -6

On the number line,start at zero

Do 4 jumps to the left (you are at -4)

Then do 2 more jumps to the left You are at -6

There are n^m functions from X to Y.

The number of functions from X to Y is equal to the number of possible assignments for each of the m elements in X.

Each element in X has n choices for which element to map to in Y.

Therefore, the total number of functions from X to Y is n multiplied by itself m times, which is n^m. Hence, the total number of functions from X to Y is n^m.

Summary: For finite non-empty sets X and Y, with m and n elements, respectively, there are n^m functions from X to Y.

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Answer:

\(\large \boxed{\mathrm{(a) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(b) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(c) \ All \ real \ numbers}}\)

Step-by-step explanation:

2x+4(x-1)=2+4x

Expand brackets.

2x+4x-4=2+4x

Combine like terms.

6x-4=2+4x

Subtract 4x from both sides.

Add 4 to both sides.

2x=6

Divide both sides by 2.

x=3 (One solution)

25-x=15-(3x+10)

Distribute negative sign.

25-x=15-3x-10

25-x=-3x+5

Add x and -5 to both sides.

20=-2x

Divide both sides by -2.

-10=x (One solution)

4x=2x+2x+5(x-x)

Solve for brackets.

4x=2x+2x+5(0)

4x=2x+2x

Combine like terms.

4x=4x

Divide both sides by 4.

x=x

All real numbers are solutions. (All real numbers)

Answer:

(7×X)+5

Step-by-step explanation:

Answer:

(7×x) +5

Step-by-step explanation:

product of 7 and a number means 7x. increase by 5 means + 5

The probability of the three independent events all occurring in three consecutive dice rolls is 1/216.

Assuming a fair six-sided die, the probability of any single roll resulting in a specific number is $1/6$. Since the events are independent, the probability of all three events occurring in three consecutive rolls is the product of the probabilities of each individual event.

Therefore, the probability of getting a specific number on three consecutive rolls is:

$P = (1/6) * (1/6) * (1/6) = 1/216$

So the probability of the three independent events all occurring in three consecutive dice rolls is 1/216.

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Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

Answer:

3x - 2y = -1

  [2]    x + y = 3

Step-by-step explanation: